GCD of 426, 316, 362, 994 Calculator

Given Input numbers are 426, 316, 362, 994

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 426, 316, 362, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 316, 362, 994 is 2.

Therefore, GCD of numbers 426, 316, 362, 994 is 2

Given Input Data is 426, 316, 362, 994

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 362 is 2 x 181

Prime Factorization of 994 is 2 x 7 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(426, 316) = 67308

GCD(426, 316) = ( 426 x 316 ) / 67308

GCD(426, 316) = 134616 / 67308

GCD(426, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 426, 316, 362, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 432, 433, 501
• GCD of 700, 866, 458, 364
• GCD of 469, 218, 233, 521
• GCD of 969, 764, 388, 138
• GCD of 715, 279, 665, 382

1. What is the GCD of 426, 316, 362, 994?

GCD of 426, 316, 362, 994 is 2

2. Where do I get the detailed procedure to find GCD of 426, 316, 362, 994?

You can find a detailed procedure to find GCD of 426, 316, 362, 994 on our page.

3. How to find GCD of 426, 316, 362, 994 on a calculator?

You can find the GCD of 426, 316, 362, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.